What is the explicit rule for the geometric sequence?

600,300,150,75,

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Answer:

6*4+8=32

Step-by-step explanation:

32-8=24

24/6=4

so 6*4=24

24+8=32

6x+8=32

6x+8-8=32-8

6x=24

6x÷6=24÷6

X=4

Answer is 4

Might be a bit confusing but hope that helps :)

Answer:

[tex]\$0.41[/tex]

Step-by-step explanation:

Convert millimeters to meters:

[tex]50\:\mathrm{mm}=0.05\:\mathrm{m}[/tex]

At a price of $8.20 per meter, the total price would be [tex]$8.20\cdot 0.05=\boxed{\$0.41}[/tex]

Step-by-step explanation:

everything can be found in the picture

Answer:

no

Step-by-step explanation

3,6,9

Answer:

Smaller number = 15

Larger number = 29

Step-by-step explanation:

Let smaller number be S

Let larger number be  L

Given :

Sum = 44. That is , S + L = 44

Smaller number is 14 less than larger number. That is , S = L - 14

Therefore the equations are :

                                          S + L = 44 ------(1)

                                          S = L -  14 ------(2)

Substitute (2) in ( 1 )

(L - 14 ) + L = 44

L - 14 + L = 44

2 L = 44 + 14

2 L = 58

L = 29

Substitute L in (1) : S = L - 14 = 29 - 14 = 15

Answer:

Larger Number: 29

Smaller Number: 15

Step-by-step explanation:

By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:

L+S = 44

L-14 = S

By substituting S = L-14 into the first equation, we get:

L+L-14 = 44 (add 14 to both sides)

L+L = 58 ( divide by 2 as L+L becomes 2L)

L=29

When L= 29, S= 29-14 which is 15

Answer:

Use Mathpapa to find using formula:

55^2+19^2=c^2

Step-by-step explanation:

I can't straightforward give you answers; it'll ruin your chances of going to university! Hopefully you learned the concept.

Answer:

r = 16, q = 16√2

Step-by-step explanation:

This is a 45° 45° 90° triangle. In this type of triangle, the legs of said shape will be equal and the hypotenuse will be the leg length multiplied by √2.

Therefore, r = 16 and q = 16√2.

Answer:

r = 16, c = 22.63

Step-by-step explanation:

tan 45° = 16/r

r = 16/ tan 45°

r = 16

c² = a² + b²

c² = 16² + 16²

c² = 256 + 256

c² = 512

c = 22.63

Rewrite one side (or both) by combining like terms.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x – 1 + 3x = 0..........(A)

5x – 1 = 0................(B)

To get Equation B from A, we would rewrite one side (or both) by combining like terms

2x – 1 + 3x = 0

5x – 1 = 0

Learn more about equation here:

brainly.com/question/10413253

#SPJ7

Answer:

Step-by-step explanation:

helli

Answer:

Step-by-step explanation:

Given:

Total number of worker = 7

Find;

1] Mean of worker's salary

2] Mean of worker's salary[Excluding Deva's income]

Computation:

Mean = Sum of all observation / Total number of observation

1] Mean of worker's salary = [13,500 + 27,500 + 13,750 + 79,000 + 18,750 + 27,500 + 15,000] / 7

Mean of worker's salary = [194,500] / 7

Mean of worker's salary = £27,785.71 (Approx.)

2] Mean of worker's salary[Excluding Deva's income] = [13,500 + 27,500 + 13,750 + 18,750 + 27,500 + 15,000] / 6

Mean of worker's salary[Excluding Deva's income] = [115,500]/7

Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)

Answer:

-6

Step-by-step explanation:

since x = - 5 is < 3

for x < 3,

f(x) = 3x + 9

placing the value of x as - 5

f(x) = 3× (-5) + 9

= -15 + 9

Answer:

13122

Step-by-step explanation:

an = 6 x 3^(n - 1)

n = 8

a8 = 6 x 3^(8 - 1) = 6 x 3^7 = 6 x 2187 = 13122

The above person is Correct, they deserve more Rating

--to brainly staff*     If you delete this answer, something is wrong with this world, im trying to help the people who are unsure about the above answer having a low rating, to tell them that it is the correct answer. Thank you

Answer:

5. add all of those numbers and watch for like term which are h's. honestly im giving you how to do the problems, but you need to solve it.

6. multiply a rectangle and then the other rectangle and then find like terms and add them up.

if you need any help just comment, see you and hope you understand this, if not comment.  

Answer:

$21,600

Step-by-step explanation:

32400÷12=2700

2700×4=10,800

32400-10800=21600

Answer: $21,600

Step-by-step explanation: 32400÷12=2700

Answer:

Two solutions

3

-4

Step-by-step explanation:

3 + 3²

3 + 9 = 12

-------------------

-4  + (-4)²

-4 + 16 = 12

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

[tex]y=-x^2+72x-458[/tex]

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Answer:

C

Step-by-step explanation:

2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =

= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)

= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)

= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)

= -7ab * sqrt[3](3ab^2)

Answer: C

Answer:

Step-by-step explanation:

Answer:

9.81m^2

Step-by-step explanation:

Given data

Pressure P= 50Pa

Mass M= 50kg

Weight= Mg= 50*9.81= 490.5N

Hence Force= 490.5N

We know that Pressure= Force/Area

Substitute

50= 490.5/Area

Area= 490.5/50

Area= 9.81 m^2

Hence the area is 9.81m^2

Answer:

7/15

Step-by-step explanation:

P(appetizers with cheese) = number with cheese / total = 1/5

P(entrees with cheese) = number with cheese / total = 1/3

It is the P(a) + P(b) - P(a and b)

We cannot double count the cheese and cheese event)

P( cheese and cheese) = 1/3 * 1/5 = 1/15

1/5 + 1/3 - 1/15

3/15 + 5/15 -1/15

8/15 - 1/15

7/15

Explanation:

This is because cosine is the ratio of adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.

Answer:

Number of hours= 7.5

Step-by-step explanation:

Giving the following information:

Amount saved= $35

Hourly rate= $6

Total objective= $80

To calculate the number of hours to be saved, we need to use the following formula:

Number of hours= difference needed / hourly rate

Number of hours= (80 - 35) / 6

Number of hours= 45/6

Number of hours= 7.5

Answer:

x= 2.67

y= 7

Step-by-step explanation:

I want you to know that I might be wrong.

I times 3 and 2.67 which gave me 8.

3 * 2.67 equals= 8.01

I added 8.01 to 7 which gave me 15.

Answer:

If we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.

Step-by-step explanation:

The equation of a line parallel to the y-axis is of the form [tex]x = a[/tex], where [tex]a[/tex] is the x-coordinate of the point of the line passing through the x-axis. Then, if we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.

===============================================

Work Shown:

(1 inch)/(40 miles) = (5 inches)/(x miles)

1/40 = 5/x

1*x = 40*5 .... cross multiply

x = 200 miles

------------

We could also look at it like this:

1 inch = 40 miles

5*(1 inch) = 5*(40 miles) .... multiply both sides by 5

5 inches = 200 miles

Answer:

I dont see the whole question

Step-by-step explanation:

Answer:

Remember the relation:

Distance = Speed*Time.

Then if we define:

y = distance

x = time

Speed = 50km/hr

Then we can write the relation between distance and time is:

y = (50km/hr)*x

This is the equation we need to graph.

To graph it, we can just find two points of that equation, and then draw a line that connects them:

For example if we have x = 0hr then:

y = (50km/hr)*0hr = 0km

then we have the point (0hr, 0km)

If now we use the point x = 1hr, then:

y = (50km/hr)*1hr  = 50km

Then we also have the point (1hr, 50km)

Now we can draw these two points and connect them by a line, that line is the graph of the equation.

The graph of the equation can be seen below:

Answer: D

Step-by-step explanation:

I’m like 90% sure it’s D ‍♀️

Answer:

D

Step-by-step explanation:

Domain is how far the graph goes left to right.

The left arrow goes left into -infinity forever

The right arrow goes down and to the right forever, into infinity

Answer:

(x-4) (x-2)

Step-by-step explanation:

x^2−6x+8

What 2 numbers multiply to 8 and add to -6

-4*-2 = -8

-4+-2 = -6

(x-4) (x-2)